Initial conditions of air entering a centrifugal compressor are 1 bar and 15C static. The power input to the compressor is 440 kW. The total pressure at exit is 5.1 bar. The velocity of air at inlet is 140 m/s and the speed of the compressor is 19000 rpm. The hub diameter is 13 cm. Assume isentropic efficiency 0.79 and slip factor 0.95. Calculate- (a) the change in total temperature, (b) the impeller diameter at outlet and inlet, (c) the mass flow rate of air.